On simultaneous conjugation of permutations
arXiv:1810.08971 · doi:10.1016/j.jpaa.2021.106804
Abstract
In this paper we give an affirmative answer to a conjecture proposed by Danny Neftin, that is, if the commutator of two permutations has at least n-4 fixed points where two permutations are in degree n symmetric group, then there exists a permutation in this symmetric inverting both of them.
16 pages,no figures